%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS170+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 13:04:32 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 72 ( 8 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 388 ( 136 ~; 205 |; 35 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 51 ( 2 sgn 31 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ),
file('/tmp/tmpiDPdyg/sel_KRS170+1.p_1',axiom_2) ).
fof(2,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpiDPdyg/sel_KRS170+1.p_1',axiom_0) ).
fof(3,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpiDPdyg/sel_KRS170+1.p_1',axiom_1) ).
fof(4,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
file('/tmp/tmpiDPdyg/sel_KRS170+1.p_1',the_axiom) ).
fof(5,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(6,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(7,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(8,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(9,plain,
! [X1,X2] :
( ( ~ rhasLeader(X1,X2)
| rhasHead(X1,X2) )
& ( ~ rhasHead(X1,X2)
| rhasLeader(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(10,plain,
! [X3,X4] :
( ( ~ rhasLeader(X3,X4)
| rhasHead(X3,X4) )
& ( ~ rhasHead(X3,X4)
| rhasLeader(X3,X4) ) ),
inference(variable_rename,[status(thm)],[9]) ).
cnf(11,plain,
( rhasLeader(X1,X2)
| ~ rhasHead(X1,X2) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(12,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(13,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[6]) ).
cnf(14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[13]) ).
fof(16,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(17,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(18,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(19,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(20,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ? [X1,X2] :
( rhasLeader(X1,X2)
& ~ rhasHead(X1,X2) )
| ? [X1,X2] :
( rhasHead(X1,X2)
& ~ rhasLeader(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(21,negated_conjecture,
( ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) )
| ? [X4] :
( ( ~ xsd_string(X4)
| xsd_integer(X4) )
& ( xsd_string(X4)
| ~ xsd_integer(X4) ) )
| ? [X5,X6] :
( rhasLeader(X5,X6)
& ~ rhasHead(X5,X6) )
| ? [X7,X8] :
( rhasHead(X7,X8)
& ~ rhasLeader(X7,X8) ) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ) )
| ( rhasLeader(esk3_0,esk4_0)
& ~ rhasHead(esk3_0,esk4_0) )
| ( rhasHead(esk5_0,esk6_0)
& ~ rhasLeader(esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[21]) ).
fof(23,negated_conjecture,
( ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(24,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(25,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(27,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(28,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(29,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(30,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(31,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(32,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| $false
| ~ xsd_integer(esk2_0) ),
inference(rw,[status(thm)],[27,15,theory(equality)]),
[unfolding] ).
cnf(33,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| $false
| ~ xsd_string(esk2_0) ),
inference(rw,[status(thm)],[31,15,theory(equality)]),
[unfolding] ).
cnf(34,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| $false
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(rw,[status(thm)],[26,15,theory(equality)]),
[unfolding] ).
cnf(35,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| $false
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[25,15,theory(equality)]),
[unfolding] ).
cnf(36,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| $false
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(rw,[status(thm)],[30,15,theory(equality)]),
[unfolding] ).
cnf(37,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| $false
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[29,15,theory(equality)]),
[unfolding] ).
cnf(38,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| $false
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[24,15,theory(equality)]),
[unfolding] ).
cnf(39,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| $false
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[28,15,theory(equality)]),
[unfolding] ).
cnf(41,negated_conjecture,
( xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[32,14,theory(equality)]) ).
cnf(42,negated_conjecture,
( xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[41,18]) ).
cnf(43,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[11,42,theory(equality)]) ).
cnf(44,negated_conjecture,
( xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[33,14,theory(equality)]) ).
cnf(45,negated_conjecture,
( xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[44,18]) ).
cnf(46,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[11,45,theory(equality)]) ).
cnf(47,negated_conjecture,
( xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(sr,[status(thm)],[34,14,theory(equality)]) ).
cnf(48,negated_conjecture,
( xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[47,18]) ).
cnf(50,negated_conjecture,
( xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[35,14,theory(equality)]) ).
cnf(51,negated_conjecture,
( xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[50,18]) ).
cnf(52,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[11,51,theory(equality)]) ).
cnf(53,negated_conjecture,
( xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(sr,[status(thm)],[36,14,theory(equality)]) ).
cnf(54,negated_conjecture,
( xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[53,18]) ).
cnf(55,negated_conjecture,
( xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[37,14,theory(equality)]) ).
cnf(56,negated_conjecture,
( xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[55,18]) ).
cnf(57,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[11,56,theory(equality)]) ).
cnf(58,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[38,14,theory(equality)]) ).
cnf(59,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[58,18]) ).
cnf(61,negated_conjecture,
( xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[39,14,theory(equality)]) ).
cnf(62,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[61,18]) ).
cnf(64,negated_conjecture,
( xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[43,48]) ).
cnf(65,negated_conjecture,
( xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[46,54]) ).
cnf(66,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[52,59]) ).
cnf(67,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[66,12,theory(equality)]) ).
cnf(68,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[67,64]) ).
cnf(69,negated_conjecture,
~ xsd_integer(esk2_0),
inference(spm,[status(thm)],[19,68,theory(equality)]) ).
cnf(72,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[57,62]) ).
cnf(73,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[72,12,theory(equality)]) ).
cnf(74,negated_conjecture,
rhasLeader(esk3_0,esk4_0),
inference(sr,[status(thm)],[65,69,theory(equality)]) ).
cnf(75,negated_conjecture,
( xsd_integer(esk2_0)
| $false ),
inference(rw,[status(thm)],[73,74,theory(equality)]) ).
cnf(76,negated_conjecture,
xsd_integer(esk2_0),
inference(cn,[status(thm)],[75,theory(equality)]) ).
cnf(77,negated_conjecture,
$false,
inference(sr,[status(thm)],[76,69,theory(equality)]) ).
cnf(78,negated_conjecture,
$false,
77,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS170+1.p
% --creating new selector for []
% -running prover on /tmp/tmpiDPdyg/sel_KRS170+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS170+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS170+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS170+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------